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zhenek [66]
3 years ago
12

What number must be added to the expression below to complete the square?

Mathematics
2 answers:
DedPeter [7]3 years ago
8 0

Answer:

1/4

Step-by-step explanation:

To complete the square, use the formula (b/2)^2

The Quadratic Formula is: a+bx+c

thus a = x^2, b = -1

You then plug in the numbers in the formula above

(b/2)^2 = (-1/2)^2 = (1/2)^2 =1/4

stiv31 [10]3 years ago
7 0

D. 1/4

Explanation:

a perfect square is written in the form

(x+a)^2 = x^2 + 2ax +a^2 (1)

In our problem, we have this perfect square:

x^2 - x + C (2)

with C being unknown. However, by comparing (1) and (2), we know that

2a=-1

So, we find

a=-\frac{1}{2}

and therefore, the missing term must be

a^2 = \frac{1}{4}

so the complete square is

x^2 -x +\frac{1}{4}

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Answer:

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Step-by-step explanation:

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3 years ago
14 is the GCF of anumber M and 210. What are possible values of M?
Cloud [144]
<span>14 = GCF of M and 210
M = possible values

GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=>  35 | 5
=> 7 | 7
=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
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Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
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3 years ago
Please Help!<br> Solve this system of equations <br><br> { 1/2x+6y+2<br> y=x+15
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4 0
3 years ago
Simplify the following 5√3+2√27+1/√3​
Sati [7]

Answer:

5√3+2√27+1√3

=5√3+2×3√3+1√3

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7 0
3 years ago
Read 2 more answers
Convert F2 from hexadecimal to binary.
Yakvenalex [24]

Question:

<u><em>"Convert F2 from hexadecimal to binary."</em></u>

Answer:

11110010

Step-by-step explanation:

Hex F2 to decimal explained:

The value of HEX F2 in decimal is 242.

The value of HEX F2 in binary is 11110010.

2 2 X 160 = 2

F 15 X 161 = 240

HEX F2 = 242

<em><u>The binary value is: 11110010</u></em>

A hexadecimal number has base 16 (0,1,2,3,4,5,6,7,8,9 A,B,C,D,E,F).

basic hex to a decimal conversion table

Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

<u><em>HOPE THIS HELPS!</em></u>

<u><em>PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)</em></u>

3 0
2 years ago
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